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222312220 = 225134571871
BaseRepresentation
bin11010100000000…
…11011100011100
3120111022122000221
431100003130130
5423402442340
634020531124
75336423404
oct1520033434
9514278027
10222312220
11104542509
1262550aa4
1337099cc0
142174d804
15147b544a
hexd40371c

222312220 has 48 divisors (see below), whose sum is σ = 504137088. Its totient is φ = 81861120.

The previous prime is 222312199. The next prime is 222312221. The reversal of 222312220 is 22213222.

It is a super-2 number, since 2×2223122202 = 98845446322656800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222312194 and 222312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222312221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117885 + ... + 119755.

It is an arithmetic number, because the mean of its divisors is an integer number (10502856).

Almost surely, 2222312220 is an apocalyptic number.

222312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252068544).

222312220 is an abundant number, since it is smaller than the sum of its proper divisors (281824868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222312220 is a wasteful number, since it uses less digits than its factorization.

222312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 222312220 is about 14910.1381616670. The cubic root of 222312220 is about 605.7886216491.

Adding to 222312220 its reverse (22213222), we get a palindrome (244525442).

The spelling of 222312220 in words is "two hundred twenty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 457 914 1828 1871 2285 3742 4570 5941 7484 9140 9355 11882 18710 23764 24323 29705 37420 48646 59410 97292 118820 121615 243230 486460 855047 1710094 3420188 4275235 8550470 11115611 17100940 22231222 44462444 55578055 111156110 222312220